unbelievably
adverb
Definitions
(manner) In a manner that one does not believe.
Example: He gestured unbelievably. Everyone knew he was faking being sick.
(degree) To an extent not to be believed.
Example: His face turned unbelievably blue. We realized he was actually choking.
(evaluative) Contrary to expectations, amazingly.
Example: Unbelievably, Rudy saved the man's life but got sued for breaking two of his ribs.